Arbitrary order numerical method for solving differential-algebraic equation by Padé series

DOI10.1016/S0096-3003(02)00080-2zbMath1031.65091OpenAlexW2053137384WikidataQ115339758 ScholiaQ115339758MaRDI QIDQ1406054

Ercan Çelik, Mustafa Bayram

Publication date: 9 September 2003

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00080-2

zbMATH Keywords

Power seriesPadé seriesArbitrary orderDifferential-algebraic equationMAPLE computer algebra systems

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

Related Items (15)

Numerical solution of differential--algebraic equation systems and applications ⋮ A new approach to the electrostatic pull-in instability of nanocantilever actuators using the ADM-Padé technique ⋮ The ordinary successive approximations method and Padé approximants for solving a differential equation with variant retarded argument ⋮ The modified two sided approximations method and Padé approximants for solving the differential equation with variant retarded argument. ⋮ One-step 9-stage Hermite-Birkhoff-Taylor DAE solver of order 10 ⋮ A novel representation of the exact solution for differential algebraic equations system using residual power-series method ⋮ Numerical methods for a class of differential algebraic equations ⋮ The numerical method for solving differential equations of Lane-Emden type by Padé approximation ⋮ Pryce pre-analysis adapted to some DAE solvers ⋮ Numerical solutions of linear time-varying descriptor systems via hybrid functions ⋮ The reproducing kernel algorithm for handling differential algebraic systems of ordinary differential equations ⋮ On the numerical solution of chemical differential-algebraic equations by Padé series ⋮ An algorithm for solving DAEs with mechanization ⋮ On the numerical solution of stiff systems ⋮ Applications of differential transform methods to differential-algebraic equations

Uses Software

• Maple
• RODAS

Cites Work

• Solving Ordinary Differential Equations Using Taylor Series
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